Abstract and Applied Analysis

Optimization Problems via Best Proximity Point Analysis


Publishing date
04 Apr 2014
Status
Published
Submission deadline
15 Nov 2013

Lead Editor

1Department of Mathematics, King Saud University, Riyadh, Saudi Arabia

2Department of Mathematics, Atilim University, Incek, 06836 Ankara, Turkey

3Babes-Bolyai University Cluj-Napoca, Faculty of Mathematics and Computer Science, Cluj-Napoca, Romania

4Dipartimento di Matematica e Informatica, Università degli Studi di Palermo, Palermo, Italy


Optimization Problems via Best Proximity Point Analysis

Description

Many problems arising in different areas of mathematics, such as optimization, variational analysis, and differential equations, can be modeled as equations of the form Tx=x, where T is a given mapping in the framework of a metric space. However, such equation does not necessarily possess a solution if T happens to be nonself-mapping. In such situations, one speculates to determine an approximate solution x (called a best proximity point) that is optimal in the sense that the distance between x and Tx is minimum. The aim of best proximity point analysis is to provide sufficient conditions that assure the existence and uniqueness of a best proximity point.

This special issue is focused on the latest achievements in best proximity point analysis and the related applications. Potential topics include, but are not limited to:

  • Existence theorems for best proximity points involving single-valued mappings
  • Existence theorems for best proximity points involving multivalued mappings
  • Algorithms for best proximity points
  • The study of best proximity points in partially ordered sets
  • Best proximity points involving cyclic mappings

Before submission authors should carefully read over the journal’s Author Guidelines, which are located at http://www.hindawi.com/journals/aaa/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/submit/journals/aaa/bppa/ according to the following timetable:


Articles

  • Special Issue
  • - Volume 2014
  • - Article ID 178040
  • - Editorial

Optimization Problems via Best Proximity Point Analysis

Mohamed Jleli | Erdal Karapınar | ... | Calogero Vetro
  • Special Issue
  • - Volume 2014
  • - Article ID 176736
  • - Research Article

The Structure of -Module Amenable Banach Algebras

Mahmood Lashkarizadeh Bami | Mohammad Valaei | Massoud Amini
  • Special Issue
  • - Volume 2014
  • - Article ID 234027
  • - Research Article

On Existence and Uniqueness of -Best Proximity Points under -Contractivity Conditions and Consequences

Poom Kumam | Antonio Francisco Roldán López de Hierro
  • Special Issue
  • - Volume 2014
  • - Article ID 616989
  • - Research Article

Monotonicity and the Dominated Farthest Points Problem in Banach Lattice

H. R. Khademzadeh | H. Mazaheri
  • Special Issue
  • - Volume 2014
  • - Article ID 923016
  • - Research Article

Topology Optimization of Time Dependent Viscous Incompressible Flows

Mohamed Abdelwahed | Maatoug Hassine
  • Special Issue
  • - Volume 2014
  • - Article ID 738926
  • - Research Article

New Exact Penalty Functions for Nonlinear Constrained Optimization Problems

Bingzhuang Liu | Wenling Zhao
  • Special Issue
  • - Volume 2014
  • - Article ID 813614
  • - Research Article

Existence and Uniqueness of Best Proximity Points for Generalized Almost Contractions

Chirasak Mongkolkeha | Chayut Kongban | Poom Kumam
  • Special Issue
  • - Volume 2014
  • - Article ID 716825
  • - Research Article

A Note on Best Proximity Point Theorems under Weak -Property

Angel Almeida | Erdal Karapınar | Kishin Sadarangani
  • Special Issue
  • - Volume 2014
  • - Article ID 261568
  • - Research Article

Poisson Shot Noise Traffic Model and Approximation of Significant Functionals

Wissem Jedidi
  • Special Issue
  • - Volume 2014
  • - Article ID 940120
  • - Research Article

A New Method with Sufficient Descent Property for Unconstrained Optimization

Weiyi Qian | Haijuan Cui
Abstract and Applied Analysis
 Journal metrics
Acceptance rate14%
Submission to final decision40 days
Acceptance to publication54 days
CiteScore1.300
Impact Factor-
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